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3 years ago

I’m so confused !! PLS HELP ME, it’s due in like 5 mins ASAP

Mathematics

1 answer:

Tresset [83]3 years ago

8 0

Answer:

its g

Step-by-step explanation:

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Which of the following is the measure of an acute angle?

gladu [14]

There is no image, but I can help you by telling you what an acute angle is:

An acute angle is any angle that has a measure LESS then 90 degrees

Hope this helped!

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2 years ago

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Rounding decimals to the thousandths place 45.9867

solmaris [256]

Answer:

45.987

Step-by-step explanation:

Because its the number you get by rounding up

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2 years ago

What is the scale factor (k) of the dilation if C is (-6,9) and C' is (-2,3)?

bekas [8.4K]

Answer:

Step-by-step explanation:

Given the original coordinate as C (-6, 9) and new coordinates after dilation as C' (-2, 3), we can see that the value of the new coordinates has reduces by a factor. Let the factor be k

For the x coordinates:

C' = kC

x' = kx

-2 = k(-6)

-2 = -6k

Divide both sides by -6

k = -2/-6

k = 1/3

For the y-coordinates:

y' = ky

3 = 9k

Divide both sides by 9:

3/9 = 9k/9

1/3 = k

k = 1/3

Hence the scale factor of the dilation is 1/3

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3 years ago

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A triangle pyramid with a based length of 9 inches a base height of 10 inches and Height of 32 inches

Naily [24]

Sorry what is the thing to times 9 by 10 by 32 sorry i don't think you have all the question here

7 0

3 years ago

My Notes OAsk Your Tea The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t an

Papessa [141]

Answer:

10.96 hours will take for 85% of the lead to decay.

Step-by-step explanation:

Suppose A represents the amount of Pb-209 at time t,

According to the question,

$\frac{dA}{dt}\propto A$

$\implies \frac{dA}{dt}=kA$

$\int \frac{dA}{A}=\int kdt$

$ln|A|=kt+C_1$

$A=e^{kt+C_1}$

$A=e^{C_1} e^{kt}$

$\implies A=C e^{kt}$

Let $A_0$ be the initial amount,

$A_0=C e^{0} = C$

$\implies A=A_0 e^{kt}$

Since, the half-life of 3.3 hours.

$\implies \frac{A_0}{2}=A_0 e^{3.3k}\implies e^{3.3k}=0.5\implies k=-0.21004$

$\implies A=A_0 e^{-0.21004t}$

Here, $A_0=1\text{ gram}$

$A=(100-85)\% \text{ of }A_0=15\%\text{ of }A_0=0.15A_0$

By substituting the values,

$0.15A_0=A_0 e^{-0.21004t}$

$0.15=e^{-0.21004t}$

$\implies t\approx 10.96\text{ hour}$

6 0

2 years ago